5205840020160 has 224 divisors, whose sum is σ = 17801731540992. Its totient is φ = 1281310617600.

The previous prime is 5205840020153. The next prime is 5205840020179. The reversal of 5205840020160 is 610200485025.

It is a Cunningham number, because it is equal to 2281631²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219024597 + ... + 219048363.

It is an arithmetic number, because the mean of its divisors is an integer number (79472015808).

Almost surely, 2^{5205840020160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205840020160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8900865770496).

5205840020160 is an abundant number, since it is smaller than the sum of its proper divisors (12595891520832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5205840020160 is a wasteful number, since it uses less digits than its factorization.

5205840020160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41351 (or 41341 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 5205840020160 in words is "five trillion, two hundred five billion, eight hundred forty million, twenty thousand, one hundred sixty".